48719897701632 has 216 divisors, whose sum is σ = 148072450377600. Its totient is φ = 15801044834304.

The previous prime is 48719897701451. The next prime is 48719897701693. The reversal of 48719897701632 is 23610779891784.

48719897701632 is a `hidden beast` number, since 487 + 1 + 9 + 89 + 7 + 7 + 0 + 1 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6888169 + ... + 12036887.

It is an arithmetic number, because the mean of its divisors is an integer number (685520603600).

Almost surely, 2^{48719897701632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48719897701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74036225188800).

48719897701632 is an abundant number, since it is smaller than the sum of its proper divisors (99352552675968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48719897701632 is an equidigital number, since it uses as much as digits as its factorization.

48719897701632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148818 (or 5148761 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 48719897701632 in words is "forty-eight trillion, seven hundred nineteen billion, eight hundred ninety-seven million, seven hundred one thousand, six hundred thirty-two".